Review Problems Set 7

Front

What is the equation for the axis of symmetry in a parabola?

Back

The equation for the axis of symmetry is x = h, where (h, k) is the vertex of the parabola.

Front

What is the term used to describe the highest point on a downward-opening parabola?

Back

The green dot on the parabola is called the maximum.

Tags

CCSS.HSF-IF.C.7A

Front

How do you identify the vertex of a parabola from its equation?

Back

The vertex can be identified from the standard form of the parabola, y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means the coefficient 'a' in the equation y = ax² + bx + c is positive.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means the coefficient 'a' in the equation y = ax² + bx + c is negative.

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept of the function f(x) = 2x² - 2x + 1?

Back

The y-intercept is 1.

Front

What are x-intercepts in a quadratic function?

Back

X-intercepts are the points where the graph of the function crosses the x-axis, found by solving f(x) = 0.

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the x-intercepts of the function f(x) = 2x² - 2x + 1?

Back

The x-intercepts can be found by solving the equation 2x² - 2x + 1 = 0.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the vertex of the parabola represented by the equation y = 2(x - 1)² + 4?

Back

The vertex is (1, 4).